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211130410453000 = 23531727737447757
BaseRepresentation
bin110000000000010110100001…
…000111011100100000001000
31000200112212111022120011011121
4300000112201013130200020
5210133130040033444000
62025011545505405024
762320445251204363
oct6000264107344010
91020485438504147
10211130410453000
11612aa9a45a6845
121b81a5a3339774
1390a6687618b4c
143a1caa2d8b0da
151961ebe637b1a
hexc005a11dc808

211130410453000 has 128 divisors (see below), whose sum is σ = 523126668336480. Its totient is φ = 79481346662400.

The previous prime is 211130410452971. The next prime is 211130410453003. The reversal of 211130410453000 is 354014031112.

It can be written as a sum of positive squares in 16 ways, for example, as 52916226117316 + 158214184335684 = 7274354^2 + 12578322^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (211130410453003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 471305122 + ... + 471752878.

Almost surely, 2211130410453000 is an apocalyptic number.

211130410453000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211130410453000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261563334168240).

211130410453000 is an abundant number, since it is smaller than the sum of its proper divisors (311996257883480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211130410453000 is a wasteful number, since it uses less digits than its factorization.

211130410453000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475532 (or 475518 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

Adding to 211130410453000 its reverse (354014031112), we get a palindrome (211484424484112).

The spelling of 211130410453000 in words is "two hundred eleven trillion, one hundred thirty billion, four hundred ten million, four hundred fifty-three thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 170 200 250 340 425 500 680 850 1000 1700 2125 3400 4250 8500 17000 27737 55474 110948 138685 221896 277370 447757 471529 554740 693425 895514 943058 1109480 1386850 1791028 1886116 2238785 2357645 2773700 3467125 3582056 3772232 4477570 4715290 5547400 6934250 7611869 8955140 9430580 11193925 11788225 13868500 15223738 17910280 18861160 22387850 23576450 27737000 30447476 38059345 44775700 47152900 55969625 58941125 60894952 76118690 89551400 94305800 111939250 117882250 152237380 190296725 223878500 235764500 304474760 380593450 447757000 471529000 761186900 951483625 1522373800 1902967250 3805934500 7611869000 12419435909 24838871818 49677743636 62097179545 99355487272 124194359090 211130410453 248388718180 310485897725 422260820906 496777436360 620971795450 844521641812 1055652052265 1241943590900 1552429488625 1689043283624 2111304104530 2483887181800 3104858977250 4222608209060 5278260261325 6209717954500 8445216418120 10556520522650 12419435909000 21113041045300 26391301306625 42226082090600 52782602613250 105565205226500 211130410453000